Limit of the function x*sqrt(y)

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     /    ___\
 lim \x*\/ y /
x->oo

\lim_{x \to \infty}\left(x \sqrt{y}\right)

Limit(x*sqrt(y), x, oo, dir='-')

Lopital's rule

There is no sense to apply Lopital's rule to this function since there is no indeterminateness of 0/0 or oo/oo type

Rapid solution [src]

       /  ___\
oo*sign\\/ y /

\infty \operatorname{sign}{\left(\sqrt{y} \right)}

Expand and simplify

Other limits x→0, -oo, +oo, 1

\lim_{x \to \infty}\left(x \sqrt{y}\right) = \infty \operatorname{sign}{\left(\sqrt{y} \right)}

\lim_{x \to 0^-}\left(x \sqrt{y}\right) = 0

\lim_{x \to 0^+}\left(x \sqrt{y}\right) = 0

\lim_{x \to 1^-}\left(x \sqrt{y}\right) = \sqrt{y}

\lim_{x \to 1^+}\left(x \sqrt{y}\right) = \sqrt{y}

\lim_{x \to -\infty}\left(x \sqrt{y}\right) = - \infty \operatorname{sign}{\left(\sqrt{y} \right)}